Clifford Invariants and Three-Copy Quantum Tests

quant-ph, math.GR, math.RT

Submitted: 2026-10-10

Updated: 2026-10-10

Comments: GAP code is available in the GitHub repository: https://github.com/luanyongzhi/qutrit-character-table

Code: https://github.com/luanyongzhi/qutrit-character-table

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Sources

• Third moments of qudit Clifford orbits and 3-designs based on magic orbits
• Stabilizer Codes and Quantum Error Correction
• Qubit stabilizer states are complex projective 3-designs
• The Clifford group fails gracefully to be a unitary 4-design

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